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个人信息Personal Information
教授
博士生导师
硕士生导师
性别:男
毕业院校:北京大学
学位:博士
所在单位:力学与航空航天学院
学科:工程力学. 固体力学. 生物与纳米力学
办公地点:大连理工大学综合实验一号楼308
电子邮箱:xsxu@dlut.edu.cn
A SYMPLECTIC HAMILTONIAN APPROACH FOR THERMAL BUCKLING OF CYLINDRICAL SHELLS
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论文类型:期刊论文
发表时间:2010-06-01
发表刊物:INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS
收录刊物:EI、SCIE
卷号:10
期号:2
页面范围:273-286
ISSN号:0219-4554
关键字:Cylindrical shell; Hamiltonian system; thermal buckling
摘要:The paper deals with the thermal buckling of cylindrical shells in a uniform temperature field based on the Hamiltonian principle in a symplectic space. In the system, the buckling problem is reduced to an eigenvalue problem which corresponds to the critical temperatures and buckling modes. Unlike the classical approach where a predetermined trial shape function satisfying the geometric boundary conditions is required at the outset, the symplectic eigenvalue approach is completely rational where solutions satisfying both geometric and natural boundary conditions are solved with complete reasoning. The results reveal distinct axisymmetric buckling and nonaxisymmetric buckling modes under thermal loads. Besides, the influence for different boundary conditions is discussed.